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Finding the Third Proportional to 51,842 and 114,628

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Solution

The third proportional to 51,842 and 114,628 is: 253,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842 : 114,628 = 114,628 : x
  2. Step 2: Convert to fraction form
    51,842/114,628 = 114,628/x
  3. Step 3: Cross multiply
    51,842x = 114,628 × 114,628
  4. Step 4: Simplify right side
    51,842x = 13,139,578,384
  5. Step 5: Solve for x
    x = 13,139,578,384/51,842
  6. Step 6: Final answer
    x = 253,454.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.